How reliable are GIAO calculations of 1H and 13C NMR chemical shifts? A statistical analysis and empirical corrections at DFT (PBE/3z) level

Authors

  • Evgeniy Yu. Pankratyev,

    Corresponding author
    1. Institute of Organic Chemistry of Ufa Scientific Centre of Russian Academy of Sciences, Russia, 450054, Ufa, Prospekt Oktyabrya, 71
    • Institute of Organic Chemistry of Ufa Scientific Centre of Russian Academy of Sciences, Russia, 450054, Ufa, Prospekt Oktyabrya, 71
    Search for more papers by this author
  • Artur R. Tulyabaev,

    1. Institute of Petrochemistry and Catalysis of Russian Academy of Sciences, Russia, 450075, Ufa, Prospekt Oktyabrya, 141
    Search for more papers by this author
  • Leonard M. Khalilov

    1. Institute of Petrochemistry and Catalysis of Russian Academy of Sciences, Russia, 450075, Ufa, Prospekt Oktyabrya, 141
    Search for more papers by this author

Abstract

Reliability of calculated 1H and 13C NMR chemical shifts for various classes of organic compounds obtained with gauge-invariant atomic orbital (GIAO) approach has been studied at the PBE/3ζ level (as implemented in PRIRODA code) using linear regression analysis with experimental data. Empirical corrections for the calculated chemical shifts δH,calc = δPBE/3ζ − 0.08 ppm (RMS 0.18 ppm, MAD 0.66 ppm) and δC,calc = δPBE/3ζ − 6.35 ppm (RMS 3.09 ppm, MAD 9.42 ppm) have been developed using the sets of 263 and 308 experimental values for 1H and 13C chemical shifts, respectively. The confidence intervals of NMR chemical shifts at 95% confidence probability are δH,calc ± 0.35 ppm for 1H and δC,calc ± 6.05 ppm for 13C. © 2011 Wiley Periodicals, Inc. J Comput Chem, 2011

Ancillary